Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°
Answer:
The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Step-by-step explanation:
Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.
we have to tell it is a rectangle or not.
The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it must satisfy Pythagoras theorem
=
+![21^{2}](https://tex.z-dn.net/?f=21%5E%7B2%7D)
784=400+441=881
Not verified
∴ The sides of the parallelogram do not meet at right angles.
Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Hope it helps
Mark as brainliest
Answer:
Third choice
Step-by-step explanation:
Mathematics says the answer is the third, get the answer every time, l2.5l=2.5
Answer:
The equation that represents a slope of -5 and y-intercept of (0,1) is:
![f(x) = -5x + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%20%2B%201)
Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:
![f(x) = ax + b](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%20%2B%20b)
In which a is the slope of the line and b is the y-intercept.
Solution:
The problem states that the slope is -5, so:
![a = -5](https://tex.z-dn.net/?f=a%20%3D%20-5)
y intercept is (0,1), so
![b = 1](https://tex.z-dn.net/?f=b%20%3D%201)
The equation that represents a slope of -5 and y-intercept of (0,1) is:
![f(x) = -5x + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%20%2B%201)
Why the others are wrong?
![y = -1x - 5](https://tex.z-dn.net/?f=y%20%3D%20-1x%20-%205)
Here, the slope is -1, and the y-intercept is (0,-5).
![y = 1x-5](https://tex.z-dn.net/?f=y%20%3D%201x-5)
For this option, the slope is 1 and the y-intercept is (0,-5).
![y = 5x - 1](https://tex.z-dn.net/?f=y%20%3D%205x%20-%201)
Is it 5x - 1? If so, the slope is 5, and the y-intercept is (0,-1).
Answer:
See the three answers with their explanation below
Explanation:
<u>a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.</u>
In this case it is 2×3 = 6
See how you do it:
![6\times \frac{1}{2}(x-4)=6\times \frac{1}{3}x+6\times 2\\ \\ 3(x-4)=2x+12](https://tex.z-dn.net/?f=6%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%28x-4%29%3D6%5Ctimes%20%5Cfrac%7B1%7D%7B3%7Dx%2B6%5Ctimes%202%5C%5C%20%5C%5C%203%28x-4%29%3D2x%2B12)
<u>b. This word problem would lead to the given equation:</u>
Half the age of Alice 4 years ago equals 2 more than one third of her current age.
- Current age: x
- Age four years ago: x - 4
- Half the age of Alice four years ago:
![\frac{1}{2}(x-4)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28x-4%29)
- 2 more than one third of her current age:
![2+\frac{1}{3}x=\frac{1}{3}x+2](https://tex.z-dn.net/?f=2%2B%5Cfrac%7B1%7D%7B3%7Dx%3D%5Cfrac%7B1%7D%7B3%7Dx%2B2)
Equality condition:
<u>c. Solution</u>
![\frac{1}{2}(x-4)=\frac{1}{3}x+2\\ \\ 3(x-4)=2x+12\\ \\ 3x-12=2x+12\\ \\ x=24](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28x-4%29%3D%5Cfrac%7B1%7D%7B3%7Dx%2B2%5C%5C%20%5C%5C%203%28x-4%29%3D2x%2B12%5C%5C%20%5C%5C%203x-12%3D2x%2B12%5C%5C%20%5C%5C%20x%3D24)
Meaning: Alice is currently 24 years old.